Lectures On Real Valued Functions

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Lectures On Real Valued Functions
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Author : Alexander Kharazishvili
language : en
Publisher: Springer Nature
Release Date : 2025-08-23
Lectures On Real Valued Functions written by Alexander Kharazishvili and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-23 with Mathematics categories.
This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functions, additive and linear functionals, etc.). Alongside with fairly traditional themes of real analysis and classical measure theory, more profound questions are thoroughly discussed in the book – appropriate extensions and restrictions of functions, oscillation functions and their characterization, discontinuous functions on resolvable topological spaces, pointwise limits of finite sums of periodic functions, some general results on invariant and quasi-invariant measures, the structure of non-measurable sets and functions, the Baire property of functions on topological spaces and its connections with measurability properties of functions, logical and set-theoretical aspects of the behavior of real-valued functions.
Lecture Notes On Complex Analysis
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Author : Ivan Francis Wilde
language : en
Publisher: Imperial College Press
Release Date : 2006
Lecture Notes On Complex Analysis written by Ivan Francis Wilde and has been published by Imperial College Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Technology & Engineering categories.
This book is based on lectures presented over many years to second and third year mathematics students in the Mathematics Departments at Bedford College, London, and King's College, London, as part of the BSc. and MSci. program. Its aim is to provide a gentle yet rigorous first course on complex analysis.Metric space aspects of the complex plane are discussed in detail, making this text an excellent introduction to metric space theory. The complex exponential and trigonometric functions are defined from first principles and great care is taken to derive their familiar properties. In particular, the appearance of ã, in this context, is carefully explained.The central results of the subject, such as Cauchy's Theorem and its immediate corollaries, as well as the theory of singularities and the Residue Theorem are carefully treated while avoiding overly complicated generality. Throughout, the theory is illustrated by examples.A number of relevant results from real analysis are collected, complete with proofs, in an appendix.The approach in this book attempts to soften the impact for the student who may feel less than completely comfortable with the logical but often overly concise presentation of mathematical analysis elsewhere.
Lectures On Real Analysis
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Author : J. Yeh
language : en
Publisher: World Scientific
Release Date : 2000
Lectures On Real Analysis written by J. Yeh and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.
The theory of the Lebesgue integral is a main pillar in the foundation of modern analysis and its applications, including probability theory. This volume shows how and why the Lebesgue integral is such a universal and powerful concept. The lines of development of the theory are made clear by the order in which the main theorems are presented. Frequent references to earlier theorems made in the proofs emphasize the interdependence of the theorems and help to show how the various definitions and theorems fit together. Counter-examples are included to show why a hypothesis in a theorem cannot be dropped. The book is based upon a course on real analysis which the author has taught. It is particularly suitable for a one-year course at the graduate level. Precise statements and complete proofs are given for every theorem, with no obscurity left. For this reason the book is also suitable for self-study.
Lectures On Real Valued Functions
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Author : Alexander Kharazishvili
language : en
Publisher: Springer
Release Date : 2025-08-05
Lectures On Real Valued Functions written by Alexander Kharazishvili and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-08-05 with Mathematics categories.
This book offers several topics of mathematical analysis which are closely connected with significant properties of real-valued functions of various types (such as semi-continuous functions, monotone functions, convex functions, measurable functions, additive and linear functionals, etc.). Alongside with fairly traditional themes of real analysis and classical measure theory, more profound questions are thoroughly discussed in the book – appropriate extensions and restrictions of functions, oscillation functions and their characterization, discontinuous functions on resolvable topological spaces, pointwise limits of finite sums of periodic functions, some general results on invariant and quasi-invariant measures, the structure of non-measurable sets and functions, the Baire property of functions on topological spaces and its connections with measurability properties of functions, logical and set-theoretical aspects of the behavior of real-valued functions.
Lecture Slides For Signals And Systems Edition 3 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2020-12-15
Lecture Slides For Signals And Systems Edition 3 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-15 with Technology & Engineering categories.
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear time-invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, and partial fraction expansions.
Lecture Slides For Signals And Systems Edition 4 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2022-01-15
Lecture Slides For Signals And Systems Edition 4 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-15 with Technology & Engineering categories.
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear time-invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, partial fraction expansions, and MATLAB.
Lecture Slides For Signals And Systems Edition 2 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2020-02-29
Lecture Slides For Signals And Systems Edition 2 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-02-29 with Technology & Engineering categories.
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear-time invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, and partial fraction expansions.
Lecture Slides For Signals And Systems Edition 6 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2024-12-15
Lecture Slides For Signals And Systems Edition 6 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-15 with Technology & Engineering categories.
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear time-invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, partial fraction expansions, and MATLAB.
Lecture Slides For Signals And Systems Edition 5 0
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2022-12-31
Lecture Slides For Signals And Systems Edition 5 0 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-12-31 with Technology & Engineering categories.
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear time-invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, partial fraction expansions, and MATLAB.
Lecture Slides For Signals And Systems Version 2016 01 25
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Author : Michael D. Adams
language : en
Publisher: Michael Adams
Release Date : 2016-01-25
Lecture Slides For Signals And Systems Version 2016 01 25 written by Michael D. Adams and has been published by Michael Adams this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-01-25 with categories.
This document constitutes a detailed set of lecture slides on signals and systems, covering both the continuous-time and discrete-time cases. Some of the topics considered include: signal properties, elementary signals, system properties, linear-time invariant systems, convolution, Fourier series, Fourier transform, Laplace transform, z transform, complex analysis, and partial fraction expansions.